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Finding the Fourth Proportional to 9,952.20, 13,730.49 and 6,171.39

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Solution

The fourth proportional to 9,952.20, 13,730.49 and 6,171.39 is: 8,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.20 : 13,730.49 = 6,171.39 : x
  2. Step 2: Convert to fraction form
    9,952.20/13,730.49 = 6,171.39/x
  3. Step 3: Cross multiply
    9,952.20x = 13,730.49 × 6,171.39
  4. Step 4: Simplify right side
    9,952.20x = 84,736,208.68
  5. Step 5: Solve for x
    x = 84,736,208.68/9,952.20
  6. Step 6: Final answer
    x = 8,514.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.